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|rle          = true
|rle          = true
|apgcode      = xp38_y2178czy8s4cy1szsoyfesz01sy1ogszy9o8gzyb32
|apgcode      = xp38_y2178czy8s4cy1szsoyfesz01sy1ogszy9o8gzyb32
|viewerconfig = #C [[ ZOOM 8 GPS 19 LOOP 38 ]]
|viewerconfig = #C [[ HEIGHT 500 THUMBSIZE 3 ZOOM 18 GPS 19 LOOP 38 ]]
}}
}}
'''42P38''' is a small {{period|38}} [[oscillator]] found by [[Mitchell Riley]] on April 21, {{year|2023}}. With only 42 cells, it is the smallest known period-38 oscillator by population; surpassing [[44P38]]. It consists of an [[R-pentomino]] turning into an [[octomino II]] via [[fishhook]], then turning back into an R-pentomino via a combination of a [[transparent]] [[blinker]] plus [[toad]] catalyst and hitting a second copy of itself.
'''42P38''' is a small {{period|38}} [[oscillator]] found by [[Mitchell Riley]] on April 21, {{year|2023}}. With only 42 cells, it is the smallest known period-38 oscillator by population; surpassing [[44P38]]. It consists of an [[R-pentomino]] turning into an [[octomino II]] via [[fishhook]], then turning back into an R-pentomino via a combination of a [[transparent]] [[blinker]] plus [[toad]] catalyst and hitting a second copy of itself.
Line 25: Line 25:
It is a delayed domino sparker, allowing for the construction of some [[LCM oscillators]].
It is a delayed domino sparker, allowing for the construction of some [[LCM oscillators]].


==[[LCM oscillator]]s==
== LCM oscillators ==
The oscillators below are listed due to being the smallest known ones by population, while also satisfying the condition that at least one cell oscillates at the full period.
The [[LCM oscillator]]s below are listed due to being the smallest known ones by population, while also satisfying the condition that at least one cell oscillates at the full period.
{|style="margin:auto"
 
{|style="margin:auto;width:300px;"
|{{EmbedViewer
|{{EmbedViewer
|pname = moldon42p38
|pname = moldon42p38
|position    = center
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 400 ZOOM 14 GPS 24 ]]
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 400 ZOOM 14 GPS 24 THEME Book AUTOSTART STOP 76 ]]
|caption      = 54P76 with [[mold]]
|caption      = 54P76 with [[mold]]
|apgcode      = xp76_wo4an7y4o8zx11y4321z0g7y1317z73yfe7zy8746y17zy2gs26
|apgcode      = xp76_wo4an7y4o8zx11y4321z0g7y1317z73yfe7zy8746y17zy2gs26
}}
}}
|-
|{{EmbedViewer
|{{EmbedViewer
|pname = figureeighton42p38
|pname = figureeighton42p38
|position    = center
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 400 ZOOM 14 GPS 24 ]]
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 400 ZOOM 14 GPS 24 THEME Book AUTOSTART STOP 152 ]]
|caption      = 54P152 with [[figure eight]]
|caption      = 54P152 with [[figure eight]]
|apgcode      = xp152_y2178czy8s4cy1szsoyfesz01sy1ogszy9o8gzgggeeey532z333
|apgcode      = xp152_y2178czy8s4cy1szsoyfesz01sy1ogszy9o8gzgggeeey532z333
Line 46: Line 48:
|pname = 34p14shuttleon42p38
|pname = 34p14shuttleon42p38
|position    = center
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 400 ZOOM 12 GPS 24 ]]
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 400 ZOOM 12 GPS 24 THEME Book AUTOSTART STOP 266 ]]
|caption      = 76P266 with [[34P14 shuttle]]
|caption      = 76P266 with [[34P14 shuttle]]
|apgcode      = xp266_033y133y544402331zo4maxam4oy4o8yaok46z1ppy1pp1x8ox111y34kszy8311zyk46620111
|apgcode      = xp266_033y133y544402331zo4maxam4oy4o8yaok46z1ppy1pp1x8ox111y34kszy8311zyk46620111
}}
}}
|-
|{{EmbedViewer
|{{EmbedViewer
|pname = p18biblockhassleron42p38
|pname = p18biblockhassleron42p38
|position    = center
|position    = center
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 400 ZOOM 12 GPS 24 ]]
|viewerconfig = #C [[ THUMBSIZE 2 HEIGHT 400 ZOOM 12 GPS 24 THEME Book AUTOSTART STOP 342 ]]
|caption      = 85P342 with [[p18 bi-block hassler]]
|caption      = 85P342 with [[p18 bi-block hassler]]
|apgcode      = xp342_xcu5jzy1125ce53zy1ccx26062y1ggzcc08ki16y6643zy3ey162ezy1e7yfsezyde8cy1ezy8o4czy711
|apgcode      = xp342_xcu5jzy1125ce53zy1ccx26062y1ggzcc08ki16y6643zy3ey162ezy1e7yfsezyde8cy1ezy8o4czy711
}}
}}
|}
|}
==References==
<references>
</references>


==External links==
==External links==
{{LinkCatagolue|xp38_y2178czy8s4cy1szsoyfesz01sy1ogszy9o8gzyb32}}
* {{LinkCatagolue|xp38_y2178czy8s4cy1szsoyfesz01sy1ogszy9o8gzyb32}}


[[Category:R-pentomino hasslers]]
[[Category:R-pentomino hasslers|038]]
{{Symmetry|180deg}}
{{Symmetry|180deg}}
__NOTOC__
__NOTOC__

Revision as of 01:38, 23 April 2023

42P38
x = 27, y = 25, rule = B3/S23 13bo$12bo2bo$12bo2bo2bo$14bo3bo$18bo3$o$3o$3bo14bo$2b2o14b2o$17b2o2$8b 2o$7b2o14b2o$8bo14bo$24b3o$26bo3$8bo$8bo3bo$8bo2bo2bo$11bo2bo$13bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ AUTOSTART ]] #C [[ HEIGHT 500 THUMBSIZE 3 ZOOM 18 GPS 19 LOOP 38 ]]
View static image
Pattern type Oscillator
Number of cells 42
Bounding box 25 × 27
Period 38 (mod: 38)
Heat 45.5
Volatility 0.93 | 0.87
Kinetic symmetry Unspecified
Discovered by Mitchell Riley
Year of discovery 2023

42P38 is a small period-38 oscillator found by Mitchell Riley on April 21, 2023. With only 42 cells, it is the smallest known period-38 oscillator by population; surpassing 44P38. It consists of an R-pentomino turning into an octomino II via fishhook, then turning back into an R-pentomino via a combination of a transparent blinker plus toad catalyst and hitting a second copy of itself.

It is a delayed domino sparker, allowing for the construction of some LCM oscillators.

LCM oscillators

The LCM oscillators below are listed due to being the smallest known ones by population, while also satisfying the condition that at least one cell oscillates at the full period.

x = 30, y = 25, rule = B3/S23 13bo$12bo2bo$12bo2bo2bo$14bo3bo6b2o$18bo5bo2bo$24bobo2bo$25bo$o25b2obo $3o25bo$3bo14bo$2b2o14b2o$17b2o2$8b2o$7b2o14b2o$8bo14bo$24b3o$26bo3$8b o$8bo3bo$8bo2bo2bo$11bo2bo$13bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 HEIGHT 400 ZOOM 14 GPS 24 THEME Book AUTOSTART STOP 76 ]]
54P76 with mold
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
x = 32, y = 25, rule = B3/S23 13bo$12bo2bo14b2o$12bo2bo2bo9bob2o$14bo3bo8bo$18bo11bo$26b2obo$26b2o$o $3o$3bo14bo$2b2o14b2o$17b2o2$8b2o$7b2o14b2o$8bo14bo$24b3o$26bo3$8bo$8b o3bo$8bo2bo2bo$11bo2bo$13bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 HEIGHT 400 ZOOM 14 GPS 24 THEME Book AUTOSTART STOP 152 ]]
54P152 with figure eight
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
x = 39, y = 25, rule = B3/S23 13bo$12bo2bo13b2o5b2o$12bo2bo2bo10b2o5b2o$14bo3bo$18bo2$28b3o5b3o$o27b o2bo3bo2bo$3o26bo7bo$3bo14bo11bobobobo$2b2o14b2o$17b2o12b2ob2o2$8b2o$ 7b2o14b2o5bo5bo$8bo14bo5b2o5b2o$24b3o$26bo3$8bo$8bo3bo$8bo2bo2bo$11bo 2bo$13bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 HEIGHT 400 ZOOM 12 GPS 24 THEME Book AUTOSTART STOP 266 ]]
76P266 with 34P14 shuttle
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here
x = 41, y = 29, rule = B3/S23 22b2o$22b2o$22b2o$22bo13bo2bo$13bo7bobo12bo$12bo2bo6bobob3o6bo4bo$12bo 2bo2bo4bob4o5bobo2b2o$14bo3bo5bo7b2obo$18bo$28bo$27bo4bo2bo$o27bo5b2o$ 3o$3bo14bo9b2o$2b2o14b2o8b2o$17b2o2$8b2o$7b2o14b2o$8bo14bo$24b3o$26bo 3$8bo$8bo3bo$8bo2bo2bo$11bo2bo$13bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 HEIGHT 400 ZOOM 12 GPS 24 THEME Book AUTOSTART STOP 342 ]]
85P342 with p18 bi-block hassler
(click above to open LifeViewer)
RLE: here Plaintext: here
Catagolue: here

References




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